PPT-Conditional & Joint Probability

A brief digression back to joint probability ie both events O and H occur   Again we can express joint probability in terms of their separate conditional and unconditional probabilities. For example let be the probability that a die roll is even and be the probability that a die roll is greater than 3 We have the following sets to describe each event The probability that the joint event occurs is the probability that the outcome is and Independence . in the Common Core. CMC Annual Conference. Palm Springs, CA. November, 2013.   . Josh Tabor. Canyon del Oro High School. joshtabor@hotmail.com. From the . Common Core State Standards. Objectives:. By the end of this section, I will be. able to…. Calculate conditional probabilities.. Recognize the difference between sampling with replacement and sampling without replacement.. CONDITIONAL PROBABILITY:. Heng. . Ji. jih@rpi.edu. 04/05, 04/08, 2016. Bayesian networks. More commonly called . graphical models. A way to depict conditional independence relationships between random variables. A compact . specification of full joint . Section 08. Joint distribution of X and Y. defined over a two-dimensional region. Discrete:. Continuous:. X and Y may be independent or dependent.  . CDF of a joint distribution. Discrete:. Continuous:. and Independence . in the Common Core. CMC Annual Conference. Palm Springs, CA. November, 2013.   . Josh Tabor. Canyon del Oro High School. joshtabor@hotmail.com. From the . Common Core State Standards. Applied Statistics and Probability for Engineers. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 5 Title and Outline. 2. 5. Joint Probability Distributions. 5-1 Two or More Random Variables. Conditional Probability. Conditional Probability: . A probability where a certain prerequisite condition has already been met.. Conditional Probability Notation. The probability of Event A, given that Event B has already occurred, is expressed as P(A | B).. Miles. Jones. MTThF. 8:30-9:50am. CSE 4140. August 29, 2016. The Monty Hall Puzzle. What's the player's best strategy?. Always swap. B. Always stay. C. Doesn't matter, it's 50/50.. Car hidden behind one of three doors.. .  . .  . .  . .  . .  . .  . Announcements. Assignments:. HW9 (written). Due Tue 4/2, 10 pm. Optional Probability (online). Midterm:. Mon 4/8, in-class. Course Feedback:. See Piazza post for mid-semester survey. Coins game. Toss 3 coins. You win if . at least two . come out heads.. S. = { . HHH. , . HHT. , . HTH. , . HTT. , . THH. , . THT. , . TTH. , . TTT. }. W. = { . HHH. , . HHT. , . HTH. , . THH. }. Coins game. Bayes. and Independence. Computer Science cpsc322, Lecture 25. (Textbook . Chpt. . 6.1.3.1-2). Nov, 5, 2012. Lecture Overview. Recap Semantics of Probability. Marginalization. Conditional Probability. * Figures are from the . textbook site. .. II. Naïve Bayes model. III. Revisiting the . wumpus. world. I. Combining Evidence. What happens when we have two or more pieces of evidences?. . Suppose we know the full joint distribution.. http://www.alexfb.com/cgi-bin/twiki/view/PtPhysics/WebHome. Probability for two continuous . r.v. .. http://tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx. Example 1 (class). A man invites his fiancée to a fine hotel for a Sunday brunch. They decide to meet in the lobby of the hotel between 11:30 am and 12 noon. If they arrive a random times during this period, what is the probability that they will meet within 10 minutes? (Hint: do this geometrically).